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142131340032 = 28311109154351
BaseRepresentation
bin1000010001011110110…
…0000010001100000000
3111120212101012011121220
42010113230002030000
54312041110340112
6145143315515040
713161101312433
oct2042754021400
9446771164556
10142131340032
1155306488490
12236675b8a80
1310531303a46
146c4471581a
153a6cdc998c
hex2117b02300

142131340032 has 144 divisors (see below), whose sum is σ = 416454044160. Its totient is φ = 42674688000.

The previous prime is 142131340031. The next prime is 142131340033. The reversal of 142131340032 is 230043131241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (142131340031) and next prime (142131340033).

It is a super-2 number, since 2×1421313400322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 142131339984 and 142131340011.

It is not an unprimeable number, because it can be changed into a prime (142131340031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843657 + ... + 998007.

Almost surely, 2142131340032 is an apocalyptic number.

142131340032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142131340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208227022080).

142131340032 is an abundant number, since it is smaller than the sum of its proper divisors (274322704128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142131340032 is a wasteful number, since it uses less digits than its factorization.

142131340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154490 (or 154476 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 142131340032 its reverse (230043131241), we get a palindrome (372174471273).

The spelling of 142131340032 in words is "one hundred forty-two billion, one hundred thirty-one million, three hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 109 128 132 176 192 218 256 264 327 352 384 436 528 654 704 768 872 1056 1199 1308 1408 1744 2112 2398 2616 2816 3488 3597 4224 4796 5232 6976 7194 8448 9592 10464 13952 14388 19184 20928 27904 28776 38368 41856 57552 76736 83712 115104 153472 154351 230208 306944 308702 460416 463053 617404 920832 926106 1234808 1697861 1852212 2469616 3395722 3704424 4939232 5093583 6791444 7408848 9878464 10187166 13582888 14817696 16824259 19756928 20374332 27165776 29635392 33648518 39513856 40748664 50472777 54331552 59270784 67297036 81497328 100945554 108663104 118541568 134594072 162994656 185066849 201891108 217326208 269188144 325989312 370133698 403782216 434652416 538376288 555200547 651978624 740267396 807564432 1076752576 1110401094 1303957248 1480534792 1615128864 2153505152 2220802188 2961069584 3230257728 4307010304 4441604376 5922139168 6460515456 8883208752 11844278336 12921030912 17766417504 23688556672 35532835008 47377113344 71065670016 142131340032